84:
74:
53:
22:
472:
Do you (or anyone else) think it makes sense to have a discussion of a separable morphism here? Glossary of scheme theory doesn't leave much room for more subtle issues. (eventually it should have its article though). --
355:
260:
140:
385:
416:
186:
501:
130:
496:
106:
437:
I removed the fourth entry, not because I thought it to be false, but because it is not a "characterization" of closed immersions. It is a
265:
191:
97:
58:
157:
About the 4th condition. Although EGA gives a proof, the following also works for me. (Forgive me if I'm missing something.)
33:
21:
478:
460:
427:
39:
83:
105:
on
Knowledge. If you would like to participate, please visit the project page, where you can join
89:
73:
52:
474:
456:
423:
455:
Ok. (In case it's not obvious, I do appreciate your edits. The article looks much nicer.) --
446:
360:
394:
164:
490:
442:
102:
79:
482:
464:
450:
431:
350:{\displaystyle f^{-1}(U_{ij})=\operatorname {Spec} (R_{ij}/I_{ij})}
255:{\displaystyle U_{i}=\cup U_{ij}=\operatorname {Spec} (R_{ij})}
15:
441:
of closed immersions and belongs in the properties section.
397:
363:
268:
194:
167:
101:, a collaborative effort to improve the coverage of
410:
379:
349:
254:
180:
8:
19:
47:
402:
396:
368:
362:
335:
326:
317:
289:
273:
267:
240:
215:
199:
193:
172:
166:
49:
7:
95:This article is within the scope of
38:It is of interest to the following
14:
502:Low-priority mathematics articles
115:Knowledge:WikiProject Mathematics
497:Start-Class mathematics articles
118:Template:WikiProject Mathematics
82:
72:
51:
20:
135:This article has been rated as
344:
310:
298:
282:
249:
233:
1:
109:and see a list of open tasks.
483:18:03, 21 August 2012 (UTC)
465:17:28, 21 August 2012 (UTC)
451:16:06, 21 August 2012 (UTC)
432:13:19, 21 August 2012 (UTC)
518:
161:Assume 4. By 3 applied to
134:
67:
46:
141:project's priority scale
98:WikiProject Mathematics
412:
381:
380:{\displaystyle U_{ij}}
351:
256:
182:
28:This article is rated
413:
411:{\displaystyle U_{i}}
382:
352:
257:
183:
181:{\displaystyle U_{i}}
395:
361:
266:
192:
165:
121:mathematics articles
387:are open affine in
408:
391:since they are in
377:
347:
252:
178:
90:Mathematics portal
34:content assessment
418:. Thus, we get 3.
155:
154:
151:
150:
147:
146:
509:
417:
415:
414:
409:
407:
406:
386:
384:
383:
378:
376:
375:
356:
354:
353:
348:
343:
342:
330:
325:
324:
297:
296:
281:
280:
261:
259:
258:
253:
248:
247:
223:
222:
204:
203:
187:
185:
184:
179:
177:
176:
123:
122:
119:
116:
113:
92:
87:
86:
76:
69:
68:
63:
55:
48:
31:
25:
24:
16:
517:
516:
512:
511:
510:
508:
507:
506:
487:
486:
398:
393:
392:
364:
359:
358:
331:
313:
285:
269:
264:
263:
236:
211:
195:
190:
189:
168:
163:
162:
120:
117:
114:
111:
110:
88:
81:
61:
32:on Knowledge's
29:
12:
11:
5:
515:
513:
505:
504:
499:
489:
488:
470:
469:
468:
467:
420:
419:
405:
401:
374:
371:
367:
346:
341:
338:
334:
329:
323:
320:
316:
312:
309:
306:
303:
300:
295:
292:
288:
284:
279:
276:
272:
251:
246:
243:
239:
235:
232:
229:
226:
221:
218:
214:
210:
207:
202:
198:
175:
171:
153:
152:
149:
148:
145:
144:
133:
127:
126:
124:
107:the discussion
94:
93:
77:
65:
64:
56:
44:
43:
37:
26:
13:
10:
9:
6:
4:
3:
2:
514:
503:
500:
498:
495:
494:
492:
485:
484:
480:
476:
466:
462:
458:
454:
453:
452:
448:
444:
440:
436:
435:
434:
433:
429:
425:
403:
399:
390:
372:
369:
365:
339:
336:
332:
327:
321:
318:
314:
307:
304:
301:
293:
290:
286:
277:
274:
270:
244:
241:
237:
230:
227:
224:
219:
216:
212:
208:
205:
200:
196:
173:
169:
160:
159:
158:
142:
138:
132:
129:
128:
125:
108:
104:
100:
99:
91:
85:
80:
78:
75:
71:
70:
66:
60:
57:
54:
50:
45:
41:
35:
27:
23:
18:
17:
471:
438:
421:
388:
156:
137:Low-priority
136:
96:
62:Low‑priority
40:WikiProjects
112:Mathematics
103:mathematics
59:Mathematics
30:Start-class
491:Categories
262:such that
439:property
139:on the
443:RobHar
357:. But
36:scale.
479:talk
475:Taku
461:talk
457:Taku
447:talk
428:talk
424:Taku
305:Spec
228:Spec
422:--
131:Low
493::
481:)
463:)
449:)
430:)
308:
275:−
231:
209:∪
188:,
477:(
459:(
445:(
426:(
404:i
400:U
389:X
373:j
370:i
366:U
345:)
340:j
337:i
333:I
328:/
322:j
319:i
315:R
311:(
302:=
299:)
294:j
291:i
287:U
283:(
278:1
271:f
250:)
245:j
242:i
238:R
234:(
225:=
220:j
217:i
213:U
206:=
201:i
197:U
174:i
170:U
143:.
42::
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.